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Finding the Fourth Proportional to 132.92, 199.53 and 81.71

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Solution

The fourth proportional to 132.92, 199.53 and 81.71 is: 122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.92 : 199.53 = 81.71 : x
  2. Step 2: Convert to fraction form
    132.92/199.53 = 81.71/x
  3. Step 3: Cross multiply
    132.92x = 199.53 × 81.71
  4. Step 4: Simplify right side
    132.92x = 16,303.60
  5. Step 5: Solve for x
    x = 16,303.60/132.92
  6. Step 6: Final answer
    x = 122.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.